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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 2851. |
Find the point on the line y = 3x + 5 that is closest to the origin. |
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Answer» Find the point on the line y = 3x + 5 that is closest to the origin. Solution: |
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| 2852. |
Find an equation for the nth term of the arithmetic sequence. -20, -16, -12, -8, … |
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Answer» Find an equation for the nth term of the arithmetic sequence. -20, -16, -12, -8, … Solution: |
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| 2853. |
Find the exact length of the polar curve. r = e3θ, 0 ≤ θ ≤ 2π |
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Answer» Find the exact length of the polar curve. r = e3θ, 0 ≤ θ ≤ 2π Solution: |
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| 2854. |
Given the exponential equation 2x = 128, what is the logarithmic form of the equation in base 10? |
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Answer» Given the exponential equation 2x = 128, what is the logarithmic form of the equation in base 10? Solution: |
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| 2855. |
What are the Sample Variance and Sample Standard Deviation of the Following Data Set: 4, 7, 9,10,16. |
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Answer» The Sample Variance and Sample Standard Deviation of the Following Data Set: 4, 7, 9, 10, 16 are 19.7 and 4.4 We will be using the formula of sample variance and standard deviation to solve this. |
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| 2856. |
Find the slope of the line passing through the points , (-9, -3) and (7, -7). |
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Answer» Find the slope of the line passing through the points , (-9, -3) and (7, -7). Solution: |
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| 2857. |
If x2 + mx + m is a perfect-square trinomial, which equation must be true? x2 + mx + m = (x - 1)2 x2 + mx + m = (x + 1)2 x2+ mx + m = (x + 2)2 x2 + mx + m = (x + 4)2 |
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Answer» If x2+ mx + m is a perfect-square trinomial, which equation must be true? Solution: |
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| 2858. |
Solve the following in equation and represent the solution set on the number line 3x/5 + 2 < x + 4 ≤ x/2 + 5,x€R |
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Answer» Solve the following in equation and represent the solution set on the number line 3x/5 + 2 < x + 4 ≤ x/2 + 5,x€R Solution: |
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| 2859. |
Find the x-intercepts of the parabola with vertex (1, -9) and y intercept at (0, -6). |
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Answer» Find the x-intercepts of the parabola with vertex (1, -9) and y intercept at (0, -6). Solution: |
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| 2860. |
Is the line through (-4, -6, 1) and (-2, 0, -3) parallel to the line through (10, 18, 4) and (5, 3, 14)? |
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Answer» The linethrough(-4, -6, 1) and (-2, 0, -3), is parallel to the line through(10, 18, 4) and (5, 3, 14). Three-dimensional Geometry is one of the most important topicsin mathematics. It deals with curves and planes in the three-dimensional plane. Vectors and direction cosines are extensively used to represent the lines and planes. Let's find out how to check if two lines are parallel to each other, in this blog. |
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| 2861. |
Figure JKLM is a kite. Angle J is 78 degrees, angle M is 118 degrees, and angle L is 46 degrees. What is the measure of angle K? |
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Answer» Figure JKLM is a kite. Angle J is 78 degrees, angle M is 118 degrees, and angle L is 46 degrees. What is the measure of angle K?
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| 2862. |
What are the focus and directrix of the parabola with the given equation x = -1/8y2 |
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Answer» What are the focus and directrix of the parabola with the given equation x = -1/8y2 Solution: |
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| 2863. |
How to find the diameter of a circle with circumference? |
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Answer» Diameter of a circle can be calculated by dividing the circumference byπ. Diameter of a circle is the largest chord that passes through the centre of the circle. Thecircumferenceof acircleis the distance around the boundary of thecircle. |
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| 2864. |
How to find the area of a circle using diameter? |
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Answer» The area of a circle using diameter can be found by the formula, Area = 1/4πd2, where 'd' is the diameter of the circle and 'π' (pi) is a constant with a value of 22/7 or 3.14 The diameter of a circle is the largest chord that passes through the centre. |
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| 2865. |
How to determine if a year is a leap year? |
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Answer» To determine if a year is a leap year we need to check its divisibility by 4 and 400. A leap yearhas 366 days (the extra day is the 29th of February), whereas, a non-leap year has 365 days. |
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| 2866. |
Select one of the factors of x2y3 - 11x2y + 6y2 - 66. (x2y + 6),(x2y - 6),(y2 + 11),(y - 3) |
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Answer» Select one of the factors of x2y3 - 11x2y + 6y2 - 66. Solution: |
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| 2867. |
What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x + 20? |
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Answer» What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x + 200? Solution: |
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| 2868. |
What is the least common multiple of the denominators for the two fractions 1/6 and 5/8? |
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Answer» What is the least common multiple of the denominators for the two fractions 1/6 and 5/8? Solution: |
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| 2869. |
Find the points on the curve y = 2x3 + 3x2 -12x + 9 where the tangent is horizontal? |
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Answer» Find the points on the curve y = 2x3+ 3x2- 12x + 9 where the tangent is horizontal? Solution: |
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| 2870. |
Which of the following completes the rule for this translation, (x, y) → (x -8, ___)? |
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Answer» Which of the following completes the rule for this translation, (x, y) → (x -8, ___)?
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| 2871. |
This is an example of an arithmetic series: 6 + 8 + 10 + 12 + . . . + (4 + 2n) + . . .True or False? |
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Answer» This is an example of an arithmetic series: 6 + 8 + 10 + 12 + . . . + (4 + 2n) + . . .True or False? Solution: |
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| 2872. |
What is the slope-intercept form of the linear equation 2x + 3y = 6? |
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Answer» What is the slope-intercept form of the linear equation 2x + 3y = 6? Solution: |
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| 2873. |
What is the probability of tossing two coins and having them both land on heads? |
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Answer» What is the probability of tossing two coins and having them both land on heads? Solution: |
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| 2874. |
Solve the following system of equations 4x - 2y - z = -5, x - 3y + 2z = 3, 3x + y- 2z = -5. |
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Answer» Solve the following system of equations 4x - 2y - z = -5, x - 3y + 2z = 3, 3x + y- 2z = -5. Solution: |
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| 2875. |
Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10? x = log base 2 of 64, all over log base 2 of 4 x = log base 2 of 4, all over log base 2 of 64 x = log base 10 of 64, all over log base 10 of 4 x = log base 10 of 4, all over log base 10 of 64 |
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Answer» Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10? Solution: |
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| 2876. |
The expression y2 - 10y + 24 has a factor of y - 4. What is another factor of y2 - 10y + 24? |
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Answer» The expression y2 - 10y + 24 has a factor of y - 4. What is another factor of y2 - 10y + 24? Solution: |
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| 2877. |
The equilateral triangle shown is rotated about line a. Each side of the triangle measures 20 mm. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr. |
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Answer» The equilateral triangle shown is rotated about line a. Each side of the triangle measures 20 mm. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr.
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| 2878. |
What is the rate of change for f(x) = 4 sin x - 2 on the interval from x = 0 to x = pi over 2? |
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Answer» What is the rate of change for f(x) = 4 sin x - 2 on the interval from x = 0 to x = pi over 2? Solution: |
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| 2879. |
How do you find out the percentage of a number? |
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Answer» The percentage of a numbercan be found by using the formula:Percentage = (Value/Total Value)×100 The term "percentage"was adapted from the Latin word "per centum," whichmeans "by the hundred". |
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| 2880. |
Find the general solution of the given differential equation. x2y' + xy = 4. |
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Answer» Find the general solution of the given differential equation. x2y' + xy = 4. Solution: |
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| 2881. |
Which shows one way to determine the factors of x3 + 11x2 - 3x - 33 by grouping? x2(x + 11) + 3(x - 11) x2(x - 11) - 3(x - 11) x2(x + 11) + 3(x + 11) x2(x + 11) - 3(x + 11) |
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Answer» Which shows one way to determine the factors of x3+ 11x2- 3x - 33 by grouping? Solution: |
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| 2882. |
Which is a solution to (x - 2)(x + 10) = 13? x = 3,x = 8,x = 10,x = 11 |
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Answer» Which is a solution to (x - 2)(x + 10) = 13? Solution: |
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| 2883. |
An airplane pilot over the pacific sights an angle of depression of 5 at this time the horizontal distance from the airplane to the atoll is 4629 meters. What is the height? |
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Answer» An airplane pilot over the pacific sights an angle of depression of 5 at this time the horizontal distance from the airplane to the atoll is 4629 meters. What is the height?
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| 2884. |
Find the area of the region enclosed by one loop of the curve. r = 4 cos(3θ). |
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Answer» Find the area of the region enclosed by one loop of the curve. r = 4 cos(3θ). Solution: |
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| 2885. |
What is equivalent to 2/5? |
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Answer» The fractions equivalent to 2/5are 4/10, 6/15, 8/20, etc. To find the equivalent fractions for any given fraction, we divideor multiplythe numerator and thedenominatorby the same number. |
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| 2886. |
What is.33 as a fraction? |
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Answer» .33 as a fraction is 33/100 We use fractions to write a part of a whole. |
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| 2887. |
What is the area of the trapezoid? The diagram is not drawn to scale. |
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Answer» What is the area of the trapezoid? The diagram is not drawn to scale.
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| 2888. |
What is15 of 150? |
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Answer» 15of150 is equal to 2250. Multiplication also known as repeated addition, isone of the four basic operations of arithmetic. |
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| 2889. |
In the diagram, CE = 12 and BE = 5. based on the given information, AE = ? |
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Answer» In the diagram, CE = 12 and BE = 5. based on the given information, AE = ?
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| 2890. |
Solve the system by graphing. y = -3x + 1 y = x - 7. |
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Answer» Solve the system by graphing. y = -3x + 1 y = x - 7. Solution: |
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| 2891. |
The sum of three consecutive numbers is 72. What are the smallest of these numbers? |
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Answer» The sum of three consecutive numbers is 72. What are the smallest of these numbers? Solution: |
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| 2892. |
A fraction bears the same ratio to 1/7 as 3/7 does to 5/9. Find the fraction. |
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Answer» Thefraction 27/245bears the same ratio to 1/7 as 3/7 does to 5/9. Ratiobetween any two numbers represents how many times one number contains the other. |
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| 2893. |
Match the angles greater than 90° with their reference angles. 30 degrees,135 degrees, 90 degrees |
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Answer» Answer : Acute angle = 30 degrees, Obtuse angle = 135 degrees, Right angle = 90 degrees We will use the concept of Acute angle, Obtuse angle, Right angle to match the angles. |
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| 2894. |
What is 10% as a decimal? |
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Answer» 10% as a decimal is equal to0.1 Adecimalnumber can bedefinedas a number whose whole number part and the fractional part is separated by adecimalpoint. |
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| 2895. |
Find the integral of 1/x? |
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Answer» The integral of 1/x is log x+ C. Integration is one of the most important concepts in calculus. Applications of integrals include finding the area under the curve, finding the values of various parameters and quantities in subjects of engineering and science. Let's solve an example related to integrals. |
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| 2896. |
y = 5x - 1 and -15x - 3y = 3, how many solutions does this linear system have? |
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Answer» y = 5x - 1 and -15x - 3y = 3, how many solutions does this linear system have? Solution: |
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| 2897. |
How to Write a Decimal as a Mixed Number? |
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Answer» To write the decimal number as a mixed number leave the whole part unchanged and convertthe decimal part to a fraction. A decimal number with a whole part can be written as a mixed number. |
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| 2898. |
Write an equation of a line with the given slope, m = 1 and y-intercept, b = 4 |
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Answer» Write an equation of a line with the given slope, m = 1 and y-intercept, b = 4 Solution: |
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| 2899. |
What type of triangle is formed by joining the points D(7, 3), E(8, 1), and F(4, -1)? |
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Answer» What type of triangle is formed by joining the points D(7, 3), E(8, 1), and F(4, -1)? Solution: |
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| 2900. |
Let f(x) = x2 - 2x + 2 and g(x) = x - 3. Find f(x).g(x)? |
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Answer» Let f(x) = x2- 2x + 2 and g(x) = x - 3. find f(x).g(x)? Solution: |
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